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Finding the Third Proportional to 753,080 and 1,628,524

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Solution

The third proportional to 753,080 and 1,628,524 is: 3,521,658.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,080 : 1,628,524 = 1,628,524 : x
  2. Step 2: Convert to fraction form
    753,080/1,628,524 = 1,628,524/x
  3. Step 3: Cross multiply
    753,080x = 1,628,524 × 1,628,524
  4. Step 4: Simplify right side
    753,080x = 2,652,090,418,576
  5. Step 5: Solve for x
    x = 2,652,090,418,576/753,080
  6. Step 6: Final answer
    x = 3,521,658.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.